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Finding the Fourth Proportional to 380,239.82, 570,162.90 and 202,699.16

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Solution

The fourth proportional to 380,239.82, 570,162.90 and 202,699.16 is: 303,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,239.82 : 570,162.90 = 202,699.16 : x
  2. Step 2: Convert to fraction form
    380,239.82/570,162.90 = 202,699.16/x
  3. Step 3: Cross multiply
    380,239.82x = 570,162.90 × 202,699.16
  4. Step 4: Simplify right side
    380,239.82x = 115,571,540,893.16
  5. Step 5: Solve for x
    x = 115,571,540,893.16/380,239.82
  6. Step 6: Final answer
    x = 303,943.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.